GCD of 254, 262, 292, 897 Calculator

Given Input numbers are 254, 262, 292, 897

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 254, 262, 292, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 262, 292, 897 is 1.

Therefore, GCD of numbers 254, 262, 292, 897 is 1

Given Input Data is 254, 262, 292, 897

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 254 is 2 x 127

Prime Factorization of 262 is 2 x 131

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 897 is 3 x 13 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(254, 262) = 33274

GCD(254, 262) = ( 254 x 262 ) / 33274

GCD(254, 262) = 66548 / 33274

GCD(254, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

GCD of 254, 262, 292, 897 is 1

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1. What is the GCD of 254, 262, 292, 897?

GCD of 254, 262, 292, 897 is 1

2. Where do I get the detailed procedure to find GCD of 254, 262, 292, 897?

You can find a detailed procedure to find GCD of 254, 262, 292, 897 on our page.

3. How to find GCD of 254, 262, 292, 897 on a calculator?

You can find the GCD of 254, 262, 292, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.